Answer:
Option C. 6 ft
Step-by-step explanation:
Let
h ----> the height of the ramp
we know that
The ramp is in the shape of a right triangle
so
Applying the Pythagoras theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
where
c is the hypotenuse of the right triangle (the greatest side)
a and b are the legs of the right triangle
substitute the given values
[tex]10^{2}=h^{2}+8^{2}[/tex]
[tex]100=h^{2}+64[/tex]
[tex]h^{2}=100-64[/tex]
[tex]h^{2}=36[/tex]
square root both sides
[tex]h=6\ ft[/tex]
